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Finding the Third Proportional to 52,982,178,909 and 81,437,407,613.50

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Solution

The third proportional to 52,982,178,909 and 81,437,407,613.50 is: 125,175,134,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982,178,909 : 81,437,407,613.50 = 81,437,407,613.50 : x
  2. Step 2: Convert to fraction form
    52,982,178,909/81,437,407,613.50 = 81,437,407,613.50/x
  3. Step 3: Cross multiply
    52,982,178,909x = 81,437,407,613.50 × 81,437,407,613.50
  4. Step 4: Simplify right side
    52,982,178,909x = 6,632,051,358,807,347,953,664
  5. Step 5: Solve for x
    x = 6,632,051,358,807,347,953,664/52,982,178,909
  6. Step 6: Final answer
    x = 125,175,134,269.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.